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22 votes
Solve
"7x^2+19x-6 = 0

2 Answers

11 votes

Answer:

x= -3,/2/7

Explanation:

split the second term in 7x^2 + 19x-6 into two terms 7x^2+21x-2x-6=0

Factor out common terms in the first two terms7x(x+3)-2(x+3)=0

(x+3)(7x-2)=0

Factor out the common term x+3 hope that help x= -3,/2/7

User Jurajo
by
3.5k points
6 votes

Explanation:

Given

7x² + 19x - 6 = 0

7x² + (21 - 2) x - 6 = 0

7x² + 21x - 2x - 6 = 0

7x( x + 3 ) - 2 ( x + 3 ) = 0

(x + 3 ) ( 7x - 2 ) = 0

Either

x + 3 = 0

x = - 3

Or,

7x - 2 = 0

7x = 2

x = 2 /7

So

x = - 3 and 2/7

Hope it will help :)

User Jane Wilkie
by
3.4k points